unlike polymer pistols and looser fitting 1911s, i think the break-in period for a kimber is relevant...i have a custom II and love it, but i've had my share of issues.. the biggest issue i've had is failure to feeds on the last round while using a CMC 10 rounder.. i've put maybe 750-1000 rounds through my kimber, and the past two times i've taken it out, no issues..
second to last time i shot it, i only used an 8 round mag that had tighter spring pressure than the CMC mags, and no issues. Last time i shot it, i only used my CMC 10 rounders and also had no issues. Kimbers are steel on steel guns, and they are fit very tight, so for me, it took upwards of over 500 rounds to break in. they also need to be run clean and wet. I have a glock, too, and that thing can run dirty as hell with minimum lube, no problem, but my Kimber performs way better if it's thoroughly cleaned after around 200 rounds and lubed very well when shooting.
i'll have to see if i have any more issues in the future when shooting my limber. it's great, accurate (and i'm not a great shooter, but the kimber has helped me improve my accuracy), and it may take several hundred rounds to break in. I never called kimber for customer service or anything, and hopefully i won't have to in the future.
enjoy your new toy, i love my 1911, one of my favorite guns to shoot and it's helped me improve my accuracy with my other pistols as well..